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101234430 = 232511293349
BaseRepresentation
bin1100000100010…
…11011011111110
321001111020112100
412002023123332
5201404000210
614013445530
72336323053
oct602133376
9231436470
10101234430
1152164a20
1229aa08a6
1317c8663b
14d63302a
158d4a5c0
hex608b6fe

101234430 has 96 divisors (see below), whose sum is σ = 288943200. Its totient is φ = 24387840.

The previous prime is 101234423. The next prime is 101234449. The reversal of 101234430 is 34432101.

101234430 is a `hidden beast` number, since 1 + 0 + 1 + 234 + 430 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289896 + ... + 290244.

It is an arithmetic number, because the mean of its divisors is an integer number (3009825).

Almost surely, 2101234430 is an apocalyptic number.

101234430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101234430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144471600).

101234430 is an abundant number, since it is smaller than the sum of its proper divisors (187708770).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101234430 is a wasteful number, since it uses less digits than its factorization.

101234430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 666 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 101234430 is about 10061.5321894829. The cubic root of 101234430 is about 466.0609835028.

Adding to 101234430 its reverse (34432101), we get a palindrome (135666531).

The spelling of 101234430 in words is "one hundred one million, two hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 30 33 45 55 66 90 99 110 165 198 293 330 349 495 586 698 879 990 1047 1465 1745 1758 2094 2637 2930 3141 3223 3490 3839 4395 5235 5274 6282 6446 7678 8790 9669 10470 11517 13185 15705 16115 19195 19338 23034 26370 29007 31410 32230 34551 38390 48345 57585 58014 69102 96690 102257 115170 145035 172755 204514 290070 306771 345510 511285 613542 920313 1022570 1124827 1533855 1840626 2249654 3067710 3374481 4601565 5624135 6748962 9203130 10123443 11248270 16872405 20246886 33744810 50617215 101234430